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tresset_1 [31]
3 years ago
7

Solve |x - 6| + 8 = 17

Mathematics
2 answers:
Nesterboy [21]3 years ago
7 0

Answer:

x=15

Step-by-step explanation:

(x-6)+8=17 then remove unnecessary parentheses x-6+8=17 then calculate the sum x + 2 = 17 the move constant to the right hand side and change its sign x = 17 - 2 then subtract the numbers x=15 btw you should use photo math that's what I used

Anettt [7]3 years ago
4 0

|x - 6| + 8 = 17

Subtract 8 from both sides.

|x - 6| + 8 - 8 = 17 - 8

|x - 6| = 9

Set x - 6 to 9 and -9, which leads to two cases.

x - 6 = 9

x = 9 + 6

x = 15

x - 6 = -9

x = -9 + 3

x = -6

Which is the answer?

Plug both values into the original absolute value equation to see which yields a true statement.

Let x = 15

|15 - 6| + 8 = 17

|9| + 8 = 17

9 + 8 = 17

17 = 17

Let x = -6

|-6 - 6| + 8 = 17

|-12| + 8 = 17

12 + 8 = 17

20 DOES NOT EQUAL 17.

Answer: x = 15

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4 0
3 years ago
3/4 of 24 is 3 groups of 6, which is 18. So Han ate 18 less than Tyler, or Han at 6. So you take the 24(x) and you subtract 24 o
aksik [14]

Answer:

Step-by-step explanation:

Let the total amount ate by Tyler and Han be 24

Let the amount Tyler ate be x

Amount Han ate be y

If Tyler ate 3/4 of the total, then Amount ate by Tyler is expressed as;

x = 3/4of 24

x = 3/4×24

x = 3×6

x = 3(6)

x = 18

Hence the amount Tyler ate is 18

If Han ate 18 less than Tyler, the amount ate by Han will be;

Han y = 24-(3/4(24)

y = 24-{3(6)}

y = 24-18

y = 6

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8 0
3 years ago
How many cubes with side lengths of 1/2 cm does it take to fill up the prism
ELEN [110]

24 cubes can filled up the prism

Solution:

The image of the question is attached below.

Given data:

Length of the prism = 2 cm

Breadth of the prism = 1 cm

Height of the prism = $\frac{3}{2} cm

Volume of the prism = length × breadth × height

                                   $=2\times 1\times \frac{3}{2}

                                   =3 cubic cm

Volume of the prism = 3 cubic cm

Side length of the cube = $\frac{1}{2} cm

Volume of the cube = side × side × side

                                 $=\left(\frac{1}{2}\right)^{3}

                                 $=\frac{1}{8} cubic cm

Volume of the cube =  \frac{1}{8} cm

$\text{Number of cubes} =\frac{\text{Volume of the prism}}{\text{Volume of the cube}}

                          $=\frac{3}{\frac{1}{8} }

                          =3\times8

                          =24

Number of cubes = 24

Hence 24 cubes can filled up the prism.

4 0
3 years ago
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